Enter your grades and their respective weighting percentages to calculate the weighted average and the grade you need on the final exam. Use a period as a decimal separator. Leave blank the boxes you do not use.
Optionally, enter the passing grade and weighting of the final exam to find out the grade you need to pass the course.
Average grade =
You will need a on the final exam to pass the course.
Congratulations! You have already passed the course.
An average is a statistical measure used to represent a typical or central value in a data set. It is an essential tool for summarizing numerical information and gaining a better understanding of the overall trend in the data. In the academic context, averages are commonly used to assess student' performance in a course or subject, providing an overview of their achievements. Averages can be calculated in different ways, but the two most common types are the arithmetic mean and the weighted average.
The arithmetic mean is the simplest form of average and is calculated by adding up all the scores and dividing the result by the number of elements in the set. It directly represents the total sum of values divided by the number of values. In other words, it is the weighted average when all grades have the same weight. For example, if we have a student's scores on four tests: 65, 70, 43, and 54, the arithmetic mean would be (65 + 70 + 43 + 54) / 4 = 58.
On the other hand, the weighted average is a more precise measure that takes into account different values or assessments based on their relative importance. Each value is multiplied by an assigned weight or percentage, and then the products are summed. The result is divided by the sum of the weights. This formula is particularly useful when assessments have different values or when some elements are more important than others in a calculation. In the academic context, this is common in courses where final exams, projects, and assignments have different weights in the final grade.
The formula for calculating a weighted average is as follows:
In this formula, "Value1, Value2, ... ValueN" represent the individual values to be averaged (e.g., grades on different exams), and "Weight1, Weight2, ... WeightN" are the weights or percentages assigned to each value (e.g., the percentage or weight of an exam in the final grade). The numerator calculates the weighted sum of values, and the denominator calculates the sum of the weights. Dividing the numerator by the denominator provides the weighted average.
This formula is useful for calculating grade averages, project evaluations, or any situation where certain elements in the data set need to be given more importance. Weighted averages offer a more accurate and fair view of performance when assessments are not equally significant.